Answer: 0.2248 as a fraction is 281/1250
Converting the decimal number 0.2248 into a fraction might seem tricky at first, but with the right steps, it's straightforward. This guide will walk you through the entire process, ensuring you understand each part of the conversion.
Step 1: Understand the DecimalThe decimal 0.2248 can be broken down as:
0.2248 = 0 + 0.2248
Here, 0 is the whole number part, and 0.2248 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.2248, to a fraction. To do this, consider the place value of the decimal:
0.2248 =
2248
10000
Now, simplify the fraction 2248/10000. To do this, find the greatest common divisor (GCD) of 2248 and 10000.
Now, divide both the numerator and the denominator by their GCD:
2248 ÷ 8
10000 ÷ 8
=
281
1250
So, 0.2248 as a fraction is 281/1250
Step 4: Combine the Whole Number and FractionNow that you have 0.2248 = 0 + 0.2248, express the entire number as a mixed fraction:
0.2248
= 0 +
281
1250
=
0
1250
+
281
1250
=
281
1250
Here, 0/1250 is the whole number 0, and 281/1250 is the fractional part.
Final Result: Fraction Form of 0.2248 After simplifying, we get the final fraction:
Answer: 0.2248 = 281/1250
Converting 0.2248 to a fraction results in 281/1250. This detailed process of breaking down the decimal, converting it, simplifying, and then combining the parts gives you a clear understanding of how to handle such conversions in math, everyday calculations, or even complex problem-solving.